2013/08/28 by Moshe Kamensky, Kamensky, Moshe
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #03C60 #12H05 #12H20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Polynomial and algebraic computation #Proteoglycans and glycosaminoglycans research #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1308.6191
openalex publication_date 2013/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We demonstrate existence and uniqueness of Picard--Vessiot extensions satisfying prescribed properties, for systems of linear differential equations over a field satisfying the same properties, under some closure assumptions on the field of constants. An example includes the case of a equations over a real field, with a real-closed field of constants. The result is obtained through a model theoretic approach.